Suppose you come across old scientific notes that describe a temperature scale called Z on which the boiling point of water is `65.0^@Z` and the freezing point is `-14.0^@Z` . To what temperature on the Fahrenheit scale would a temperature of `T = - 98.0^@Z` corresponds ? Assume that the Z scale is linear , that is , the size of a Z degree is the same every where on the Z scale.

Explanation

To convert the temperature from the Z scale to the Fahrenheit scale, we will follow these steps:

### Step 1: Identify the known points on both scales
We know the following:
- Boiling point of water:
- Z scale: \( 65.0^\circ Z \)
- Fahrenheit scale: \( 212.0^\circ F \)

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